Finite Group Databasebeta

← Group #246730

Character table — Group #246730

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444442244444444444444444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-1-1-11-1-11111111111-11-11-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-11-1-1-1-11-1-111-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-11111
χ51111111111111111111111-1-1111-1-1-1-1111-1-1111111111-11-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11-11-1-1-111111111-1-1-1-1
χ71111111111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ91111111111111111-1-11-1-111111-11111-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-1
χ101111111111111111-1-11-1-111111-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111
χ111111111111111111-1-11-1-1111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-111-1-11111-1-1-1-111
χ121111111111111111-1-11-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-111-11111-1-1-1-11111-1-1
χ131111111111111111-1-11-1-11-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1111-1-111-1-11111-1-1
χ141111111111111111-1-11-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-111111-1-111111-1-111-1-1-1-111
χ151111111111111111-1-11-1-11-1-1-1-1-11111-111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111
χ161111111111111111-1-11-1-11-1-1-1-1-11111-11111-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1
χ172222222222-2-222-2-222-2-2-2-2002220000-2-2-20000000000-202000000000000000
χ182222222222-2-222-2-222-2-2-2-200-2-220000-222000000000020-2000000000000000
χ192222222222-2-222-2-2-2-2-222-20022-200002220000000000-20-2000000000000000
χ202222222222-2-222-2-2-2-2-222-200-2-2-200002-2-20000000000202000000000000000
χ2122222222-2-222-2-22222-222-22200-20000-20022000000000-20-200000000000000
χ2222222222-2-222-2-22222-222-2-2-200-20000-200-2-200000000020200000000000000
χ2322222222-2-222-2-222-2-2-2-2-2-2220020000200-2-2000000000-20200000000000000
χ2422222222-2-222-2-222-2-2-2-2-2-2-2-200200002002200000000020-200000000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-220000-222-2-2200000000000000002-2000000000000
χ2622222222-2-2-2-2-2-2-2-2222-2-220000-2-2-22220000000000000000-22000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222220000222-2-2-20000000000000000-22000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222200002-2-222-200000000000000002-2000000000000
χ29222-2-2-2-2200-2-200222-202-202-200000000002-2i2i2−i2−i2i2i2−i2−i20000000000i2−i2i2−i20000
χ30222-2-2-2-2200-2-200222-202-202-200000000002-2−i2−i2i2i2−i2−i2i2i20000000000−i2i2−i2i20000
χ31222-2-2-2-2200-2-200222-202-20-220000000000-22i2i2−i2−i2i2i2−i2−i20000000000−i2i2−i2i20000
χ32222-2-2-2-2200-2-200222-202-20-220000000000-22−i2−i2i2i2−i2−i2i2i20000000000i2−i2i2−i20000
χ33222-2-2-2-2200-2-20022-220-2202-20000000000-22i2i2−i2−i2−i2−i2i2i20000000000i2−i2−i2i20000
χ34222-2-2-2-2200-2-20022-220-2202-20000000000-22−i2−i2i2i2i2i2−i2−i20000000000−i2i2i2−i20000
χ35222-2-2-2-2200-2-20022-220-220-2200000000002-2i2i2−i2−i2−i2−i2i2i20000000000−i2i2i2−i20000
χ36222-2-2-2-2200-2-20022-220-220-2200000000002-2−i2−i2i2i2i2i2−i2−i20000000000i2−i2−i2i20000
χ372-2-2-2-22222-22-22-22-200-2002000002-22-20000000002-22-2000000002-200000000
χ382-2-2-2-22222-22-22-22-200-2002000002-22-2000000000-22-2200000000-2200000000
χ392-2-2-2-22222-22-22-22-200-200200000-22-220000000002-22-200000000-2200000000
χ402-2-2-2-22222-22-22-22-200-200200000-22-22000000000-22-22000000002-200000000
χ412-2-2-2-2222-22-22-22-2200-2002000002-2-22000002-22-200000000002-20000000000
χ422-2-2-2-2222-22-22-22-2200-2002000002-2-2200000-22-220000000000-220000000000
χ432-2-2-2-2222-22-22-22-2200-200200000-222-2000002-22-20000000000-220000000000
χ442-2-2-2-2222-22-22-22-2200-200200000-222-200000-22-2200000000002-20000000000
χ45444-4-4-4-44004400-4-44-40-4400000000000000000000000000000000000000000
χ46444-4-4-4-44004400-4-4-4404-400000000000000000000000000000000000000000
χ4744-44-44-4-44-400-44000000000000000000000000000000000000000000000022−22
χ4844-44-44-4-44-400-440000000000000000000000000000000000000000000000−2222
χ4944-44-44-4-4-44004-40000000000000000000000000000000000000000000022−2200
χ5044-44-44-4-4-44004-400000000000000000000000000000000000000000000−222200
χ514-44-444-4-44400-4-400000000004-4000000000000000000000000000000000000
χ524-44-444-4-44400-4-40000000000-44000000000000000000000000000000000000
χ534-44-444-4-4-4-400440000000000000000004i−4i0000000000000000000000000000
χ544-44-444-4-4-4-40044000000000000000000−4i4i0000000000000000000000000000
χ554-4-444-4-44004-400-44000000000000000000002i2−2i2−2i22i20000000000000000000000
χ564-4-444-4-44004-400-4400000000000000000000−2i22i22i2−2i20000000000000000000000
χ574-4-444-4-4400-44004-40000000000000000000000002i2−2i2−2i22i2000000000000000000
χ584-4-444-4-4400-44004-4000000000000000000000000−2i22i22i2−2i2000000000000000000
χ594-4-4-4-44444-4-444-4-4400400-40000000000000000000000000000000000000000
χ604-4-4-4-4444-444-4-444-400400-40000000000000000000000000000000000000000
χ6188-8-88-88-8000000000000000000000000000000000000000000000000000000
χ628-888-8-88-8000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).